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22 votes
22 votes
How do you solve 2^x=20?

User Wasabigeek
by
2.4k points

2 Answers

18 votes
18 votes
  • Answer: x≈4.322

Explanation:

Take the log of both sides:

log2(2^x) = log2(20)

xlog2(2) = log2(20)

x(1) = log2(20)

x = log2(20) ≈ 4.322

User Chris Mullins
by
2.9k points
26 votes
26 votes

Answer:

x=4.321928


Here’s your explanation


Let's solve your equation step-by-step.

2^x=20

Solve Exponent.

2^x=20

log(2^x)=log(20) (Take log of both sides)

x*(log(2))=log(20)
x=log(20)

log(2)


Then you get your answer x=4.321928

User Ocean
by
2.8k points